which statement about standard deviations (sds) is true? course hero

Which statement about standard deviations is true?

Answer: B - The true statement about standard deviation is that 2/3 of the values in a normal data distribution lie within one standard deviation from the mean. Standard deviation is a statistical measure that shows the degree of variation from the mean in a distribution.

Which statement about standard deviation SD is correct?

The correct answer is (c) The larger the standard deviation the more spread the scores are.

What does a +1 standard deviation mean?

Roughly speaking, in a normal distribution, a score that is 1 s.d. above the mean is equivalent to the 84th percentile.

What percentage of standard deviation lies?

68%Approximately 68% of the data fall within one standard deviation of the mean. Approximately 95% of the data fall within two standard deviations of the mean. Approximately 99.7% of the data fall within three standard deviations of the mean.

Which of the following describes standard deviation?

It is the average of the squared deviations of the observations from the mean. Which of the following describes standard deviation? It is the square root of the variance.

Is standard deviation affected by outliers?

The more extreme the outlier, the more the standard deviation is affected.

What is meant by 2 standard deviations?

Standard deviation tells you how spread out the data is. It is a measure of how far each observed value is from the mean. In any distribution, about 95% of values will be within 2 standard deviations of the mean.

What is standard deviation example?

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

How much is 2 standard deviations?

Around 95%Around 95% of values are within 2 standard deviations of the mean. Around 99.7% of values are within 3 standard deviations of the mean.

How much is a standard deviation?

The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

Which statement is true for the standard normal distribution?

The correct option is C) The mean divides the distribution into two equal areas.

How do we find standard deviation?

The standard deviation formula may look confusing, but it will make sense after we break it down. ... Step 1: Find the mean.Step 2: For each data point, find the square of its distance to the mean.Step 3: Sum the values from Step 2.Step 4: Divide by the number of data points.Step 5: Take the square root.